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Simplifying -29 + 2n = 3(8n + 5) Reorder the terms: -29 + 2n = 3(5 + 8n) -29 + 2n = (5 * 3 + 8n * 3) -29 + 2n = (15 + 24n) Solving -29 + 2n = 15 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -29 + 2n + -24n = 15 + 24n + -24n Combine like terms: 2n + -24n = -22n -29 + -22n = 15 + 24n + -24n Combine like terms: 24n + -24n = 0 -29 + -22n = 15 + 0 -29 + -22n = 15 Add '29' to each side of the equation. -29 + 29 + -22n = 15 + 29 Combine like terms: -29 + 29 = 0 0 + -22n = 15 + 29 -22n = 15 + 29 Combine like terms: 15 + 29 = 44 -22n = 44 Divide each side by '-22'. n = -2 Simplifying n = -2
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